Henry W. Haslach Jr.

Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure (eBook, PDF)

• Format: PDF

Produktbeschreibung

Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also:

. Explains the theory behind a thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes, based on supplementing the second law with a maximum dissipation criterion

. Provides a geometric setting for non-equilibrium thermodynamics in differential topology and, in particular, contact structures that generalize Gibbs

. Models processes that include thermoviscoelasticity, thermoviscoplasticity, thermoelectricity and dynamic fracture

. Recovers several standard time-dependent constitutive models as maximum dissipation processes

. Produces transport models that predict finite velocity of propagation

. Emphasizes applications to the time-dependent modeling of soft biological tissue

Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 297
• Erscheinungstermin: 15. Januar 2011
• Englisch
• ISBN-13: 9781441977656
• Artikelnr.: 37358267

Inhaltsangabe

History of Non-Equilibrium Thermodynamics.- Energy Methods.- Evolution Construction for Homogeneous Thermodynamic Systems.- Viscoelasticity.- Viscoplasticity.- The Thermodynamic Relaxation Modulus as a Multi-scale Bridge from the Atomic Level to the Bulk Material.- Contact Geometric Structure for Non-equilibrium Thermodynamics. Bifurcations in the Generalized Energy Function.- Evolution Construction for Non-homogeneous Thermodynamic Systems.- Electromagnetism and Joule Heating.- Fracture.

Rezensionen

From the reviews:

"The author presents his construction of a geometric model for non-equilibrium thermodynamics and his maximum dissipation criterion which is assumed to complement the second law of thermodynamics. ... the author explores different concrete situations where his construction of a maximum dissipation criterion may be applied. ... This book will be interesting for researchers involved either in applied mathematics or in mechanics." (Alain Brillard, Zentralblatt MATH, Vol. 1222, 2011)